To find:
The solution of the given inequality -4x < 8.
Solution:
Given inequality is -4x < 8. Divide both sides by -4 to isolate x.
If we divide an inequality by a negative number, then the sign of inequality changes to its opposite. So, on dividing the inequality by -4,we get:
[tex]\begin{gathered} -4x<8 \\ \frac{-4x}{-4}<\frac{8}{-4} \\ x>-2 \end{gathered}[/tex]Thus, the answer is x > -2.
